GCF of 203/99, 141/751
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 203/99, 141/751 i.e 1/74349 easily. The following is the detailed procedure to determine the greatest common factor of fractions 203/99, 141/751.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 203/99,141/751?
Given fractions are 203/99,141/751
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 203/99,141/751, numerators are 203,141
Denominators are 99,751
The GCF of 203,141 is 1 .
LCM of 99,751 is 74349.
The greatest common factor of 203/99,141/751 = [GCF of 203,141]/[LCM of 99,751]= 1/74349
Therefore, the GCF of 203/99,141/751 is 1/74349.
To find the highest common factor of 203,141, we have to find the factors of both numbers and list the highest common factor.
The factors of 203 are 1, 7, 29, 203
The factors of 141 are 1, 3, 47, 141
The HCF of 203,141 is 1.
Lets's calculate GCF of 203,141
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 203,141 By Matching Biggest Common Factor Method
Now, list down the factors of 203
:1,7,29,203
Now, list down the factors of 141
:1,3,47,141
Greatest Common Factor
We found the factors 203,141 . The biggest common factor number is the GCF number.
So the greatest common factor 203,141 is 1.
Lets's calculate LCM of 99,751
Given numbers has no common factors except 1. So, there LCM is their product i.e 74349
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/74349
Therefore, the GCF of Fractions 203/99,141/751 is 1/74349
Least Common Multiple of 99,751 with GCF Formula
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 99,751 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(99,751) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(99,751) x common factors =1 x 1 = 1
LCM(99,751) = ( 99 × 751 ) / 1
LCM(99,751) = 74349 / 1
LCM(99,751) = 74349
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 203/99, 141/751
1. What is the HCF of 203,141?
The HCF of 203,141 is 1
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
4. What is the GCF of Fractions for 203/99, 141/751?
Answer: GCF of Numerators as per given numbers 203/99, 141/751 is
GCF of Numerators i.e. for 203,141 is 1
LCM of denominators i.e. for 99,751 is 74349.
Thus, GCF of Fractions is 1/74349.Finally, GCF of Fractions for 203/99, 141/751 is 1/74349.